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Probabilistic deterministic finite automata (PDFA) are discrete event systems modeling conditional probabilities over languages: Given an already seen sequence of tokens they return the probability of tokens of interest to appear next.…

Formal Languages and Automata Theory · Computer Science 2024-07-01 Robert Baumgartner , Sicco Verwer

We present a method to extract a weighted finite automaton (WFA) from a recurrent neural network (RNN). Our algorithm is based on the WFA learning algorithm by Balle and Mohri, which is in turn an extension of Angluin's classic \lstar…

Machine Learning · Computer Science 2019-11-21 Takamasa Okudono , Masaki Waga , Taro Sekiyama , Ichiro Hasuo

Extracting finite state automata (FSAs) from black-box models offers a powerful approach to gaining interpretable insights into complex model behaviors. To support this pursuit, we present a weighted variant of Angluin's (1987)…

Computation and Language · Computer Science 2024-12-20 Clemente Pasti , Talu Karagöz , Anej Svete , Franz Nowak , Reda Boumasmoud , Ryan Cotterell

In this work, we introduce DeepDFA, a novel approach to identifying Deterministic Finite Automata (DFAs) from traces, harnessing a differentiable yet discrete model. Inspired by both the probabilistic relaxation of DFAs and Recurrent Neural…

Machine Learning · Computer Science 2024-08-19 Elena Umili , Roberto Capobianco

This paper is an attempt to bridge the gap between deep learning and grammatical inference. Indeed, it provides an algorithm to extract a (stochastic) formal language from any recurrent neural network trained for language modelling. In…

Machine Learning · Computer Science 2020-09-29 Remi Eyraud , Stephane Ayache

We present a novel algorithm that uses exact learning and abstraction to extract a deterministic finite automaton describing the state dynamics of a given trained RNN. We do this using Angluin's L* algorithm as a learner and the trained RNN…

Machine Learning · Computer Science 2020-02-28 Gail Weiss , Yoav Goldberg , Eran Yahav

Recurrent Neural Networks (RNNs) have achieved tremendous success in processing sequential data, yet understanding and analyzing their behaviours remains a significant challenge. To this end, many efforts have been made to extract finite…

Computation and Language · Computer Science 2023-06-27 Zeming Wei , Xiyue Zhang , Yihao Zhang , Meng Sun

Recurrent Neural Networks (RNNs) have achieved tremendous success in sequential data processing. However, it is quite challenging to interpret and verify RNNs' behaviors directly. To this end, many efforts have been made to extract finite…

Computation and Language · Computer Science 2022-09-28 Zeming Wei , Xiyue Zhang , Meng Sun

Weighted finite automata (WFA) are often used to represent probabilistic models, such as $n$-gram language models, since they are efficient for recognition tasks in time and space. The probabilistic source to be represented as a WFA,…

Computation and Language · Computer Science 2021-02-01 Ananda Theertha Suresh , Brian Roark , Michael Riley , Vlad Schogol

Understanding how a learned black box works is of crucial interest for the future of Machine Learning. In this paper, we pioneer the question of the global interpretability of learned black box models that assign numerical values to…

Machine Learning · Computer Science 2018-10-16 Stephane Ayache , Remi Eyraud , Noe Goudian

Reservoir computers (RCs) and recurrent neural networks (RNNs) can mimic any finite-state automaton in theory, and some workers demonstrated that this can hold in practice. We test the capability of generalized linear models, RCs, and Long…

Machine Learning · Computer Science 2019-10-18 S. E. Marzen , J. P. Crutchfield

Weighted finite automata (WFA) can expressively model functions defined over strings but are inherently linear models. Given the recent successes of nonlinear models in machine learning, it is natural to wonder whether ex-tending WFA to the…

Formal Languages and Automata Theory · Computer Science 2017-12-22 Tianyu Li , Guillaume Rabusseau , Doina Precup

Weighted automata is a basic tool for specification in quantitative verification, which allows to express quantitative features of analysed systems such as resource consumption. Quantitative specification can be assisted by automata…

Computational Complexity · Computer Science 2024-03-04 Jakub Michaliszyn , Jan Otop

Automata learning is a successful tool for many application domains such as robotics and automatic verification. Typically, automata learning techniques operate in a supervised learning setting (active or passive) where they learn a finite…

Machine Learning · Computer Science 2025-08-25 Simon Lutz , Daniil Kaminskyi , Florian Wittbold , Simon Dierl , Falk Howar , Barbara König , Emmanuel Müller , Daniel Neider

Automata extraction is a method for synthesising interpretable surrogates for black-box neural models that can be analysed symbolically. Existing techniques assume a finite input alphabet, and thus are not directly applicable to data…

Artificial Intelligence · Computer Science 2025-11-25 Chih-Duo Hong , Hongjian Jiang , Anthony W. Lin , Oliver Markgraf , Julian Parsert , Tony Tan

The identification of a deterministic finite automaton (DFA) from labeled examples is a well-studied problem in the literature; however, prior work focuses on the identification of monolithic DFAs. Although monolithic DFAs provide accurate…

Formal Languages and Automata Theory · Computer Science 2022-05-27 Niklas Lauffer , Beyazit Yalcinkaya , Marcell Vazquez-Chanlatte , Ameesh Shah , Sanjit A. Seshia

We present an algorithm for extracting a subclass of the context free grammars (CFGs) from a trained recurrent neural network (RNN). We develop a new framework, pattern rule sets (PRSs), which describe sequences of deterministic finite…

Formal Languages and Automata Theory · Computer Science 2021-03-30 Daniel M. Yellin , Gail Weiss

Neural networks are becoming a popular tool for solving many real-world problems such as object recognition and machine translation, thanks to its exceptional performance as an end-to-end solution. However, neural networks are complex…

Machine Learning · Computer Science 2020-09-29 Guoliang Dong , Jingyi Wang , Jun Sun , Yang Zhang , Xinyu Wang , Ting Dai , Jin Song Dong , Xingen Wang

Understanding recurrent networks through rule extraction has a long history. This has taken on new interests due to the need for interpreting or verifying neural networks. One basic form for representing stateful rules is deterministic…

Machine Learning · Computer Science 2018-11-16 Qinglong Wang , Kaixuan Zhang , Alexander G. Ororbia , Xinyu Xing , Xue Liu , C. Lee Giles

The need of interpreting Deep Learning (DL) models has led, during the past years, to a proliferation of works concerned by this issue. Among strategies which aim at shedding some light on how information is represented internally in DL…

Machine Learning · Computer Science 2020-04-02 Reda Marzouk , Colin de la Higuera
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